hisab-mimamsa

Hisab (Arabic: حساب — calculation) + Mimamsa (Sanskrit: मीमांसा — critical inquiry into the nature of things)

Theoretical physics engine — general relativity, quantum field theory, cosmology, and unified field models. Built on the hisab math foundation.

Features

Relativity (relativity)

Special relativity — Lorentz transformations, four-vectors, boosts, time dilation, length contraction, relativistic energy/momentum, velocity addition, Doppler effect.

General relativity — Schwarzschild metric (event horizon, ISCO, photon sphere), gravitational time dilation, redshift, geodesics (effective potential, light deflection, Shapiro delay), black hole thermodynamics (Hawking temperature, Bekenstein-Hawking entropy, evaporation time), gravitational lensing (Einstein rings, magnification, critical density).

Cosmology (cosmology, feature-gated)

Friedmann equations — Hubble parameter H(z), critical density, deceleration parameter, age of universe. Planck 2018 ΛCDM parameters (H₀=67.4 km/s/Mpc, Ω_m=0.315, Ω_Λ=0.685).

Cosmic expansion — comoving, luminosity, and angular diameter distances, lookback time, Hubble distance, scale factor, CMB temperature evolution.

Quantum Field Theory (qft, feature-gated)

Propagators — scalar (Klein-Gordon), fermion (Dirac scalar part), gauge boson (Feynman gauge), position-space via FFT.

Vacuum energy — zero-point energy, Casimir force/energy, regularized vacuum density, dimensional regularization.

Running couplings — QED/QCD one-loop β-functions, numerical (RK4) and analytic running, asymptotic freedom detection.

Feynman diagrams — tree-level amplitude evaluation, Mandelstam variables (s, t, u), differential and total cross-sections.

Unified Field (unified, feature-gated)

Holographic principle — Bekenstein bound, holographic entropy bound, information content, black hole information bits, cosmological horizon entropy.

Fixed point convergence — cosmic phase classification, entropy ratio, manifestation intensity scalar, unity parameter.

Scale bridge — Scales 3–7 bridge functions for bhava/soorat: planetary field (Scale 3), stellar influence stub (Scale 4), galactic structure stub (Scale 5), manifestation intensity (Scale 6), cosmic breath phase (Scale 7).

Quick Start

Relativity

use hisab_mimamsa::relativity::{lorentz, metric, black_hole};

// Special relativity: muon time dilation at 0.994c
let gamma = lorentz::lorentz_factor(0.994 * lorentz::C).unwrap();
println!("Lorentz factor: {gamma:.2}"); // ~9.14

// General relativity: Schwarzschild radius of the Sun
let rs = metric::schwarzschild_radius(1.989e30).unwrap();
println!("Sun r_s: {rs:.0} m"); // ~2953 m

// Black hole thermodynamics: Hawking temperature
let t = black_hole::hawking_temperature(1.989e30).unwrap();
println!("Solar mass BH temp: {t:.2e} K"); // ~6.2e-8 K

Cosmology

use hisab_mimamsa::cosmology::{friedmann, expansion};

let params = friedmann::CosmologicalParameters::planck2018();

// Age of the universe
let age_s = friedmann::age_of_universe(&params, 1100.0, 10000).unwrap();
let age_gyr = age_s / (365.25 * 24.0 * 3600.0 * 1e9);
println!("Age: {age_gyr:.1} Gyr"); // ~13.8 Gyr

// CMB temperature at decoupling (z ≈ 1100)
let t_cmb = expansion::cmb_temperature(1100.0).unwrap();
println!("CMB at decoupling: {t_cmb:.0} K"); // ~3000 K

Quantum Field Theory

use hisab_mimamsa::quantum_field::{FourMomentum, propagator, coupling};
use hisab_mimamsa::constants::{ALPHA_S_MZ, M_Z_GEV};

// Scalar propagator near the mass shell
let p = FourMomentum::new(0.511e-3, 0.0, 0.0, 0.0).unwrap();
let prop = propagator::scalar_propagator(&p, 0.511e-3, propagator::DEFAULT_EPSILON).unwrap();
println!("|propagator| = {:.2e}", prop.abs());

// QCD asymptotic freedom: coupling decreases with energy
let alpha_1tev = coupling::running_coupling_qcd_analytic(ALPHA_S_MZ, M_Z_GEV, 1000.0, 6).unwrap();
println!("alpha_s(1 TeV) = {alpha_1tev:.4}"); // < alpha_s(M_Z)

Unified Field / bhava Bridge

use hisab_mimamsa::unified::{fixed_point, scale_bridge};
use hisab_mimamsa::cosmology::friedmann::CosmologicalParameters;

let params = CosmologicalParameters::planck2018();

// Manifestation intensity: how far the universe is from heat death
let intensity = fixed_point::manifestation_intensity(&params, 0.0).unwrap();
println!("Manifestation intensity (now): {intensity:.4}"); // ~0.315

// Full bridge output for bhava/soorat
let bridge = scale_bridge::BridgeOutput::at_redshift(&params, 0.0).unwrap();
println!("Unity parameter: {:.4}", bridge.unity_param); // ~0.685

Feature Flags

[dependencies]
hisab-mimamsa = { version = "1.0", features = ["unified"] }

Validated Physics

All implementations validated against known results:

Relationship to AGNOS Science Stack

hisab (math foundation)
  ├── hisab-mimamsa (this) — theoretical physics
  │     ├── relativity — spacetime, geodesics, black holes
  │     ├── cosmology — Friedmann, CMB, expansion
  │     ├── quantum_field — propagators, vacuum, couplings, Feynman
  │     └── unified — holographic, fixed point, Scale 3-7 bridges
  ├── brahmanda — galactic / large-scale structure (Scale 5)
  ├── tara — stellar astrophysics (Scale 4)
  ├── jyotish — astronomical computation (Scale 3)
  ├── falak — orbital mechanics
  ├── kana — quantum mechanics (circuits, states, operators)
  └── tanmatra — atomic/subatomic (Standard Model, nuclear, decay)

bhava Bridge (consciousness model)

The unified module provides bridge functions for bhava (emotional states) and soorat (visible world):

• Scale 3: Planetary field → personality manifestation (via jyotish) — PlanetaryField
• Scale 4: Stellar influence → soul motivation layers (via tara) — stub
• Scale 5: Galactic structure → civilizational personality fields (via brahmanda) — stub
• Scale 6: Cosmic expansion → manifestation intensity scalar — bridge_scale_6()
• Scale 7: Cosmic breath phase → unity/differentiation cycle — bridge_scale_7()

The fixed point at zero (Unity) emerges from the cosmological model: at maximum entropy, all fields converge to ground state, all manifestation intensity → 0.0.

Bridge functions are dependency-free (f64 primitives only) — see ADR-003.

Status

279 tests, 14 benchmarks, 4 examples, 9 doc tests, 92% coverage, clippy clean, zero unsafe.

Documentation

• Architecture Overview — system diagram, module structure, data flow
• Development Roadmap — milestones and planned work
• Architecture Decision Records:
  • ADR-001: Input/Output Validation
  • ADR-002: Natural Units in QFT
  • ADR-003: Dependency-Free Bridges
  • ADR-004: Manifestation Intensity Model
  • ADR-005: Feature-Gated Modules

License

GPL-3.0-only

Contributing

See CONTRIBUTING.md for guidelines.